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228158172 = 2232114313399
BaseRepresentation
bin11011001100101…
…10101011011100
3120220022122011200
431212112223130
5431402030142
634350115500
75440212114
oct1546265334
9526278150
10228158172
11107875680
12644abb90
1338365b48
1422432044
151506c64c
hexd996adc

228158172 has 72 divisors (see below), whose sum is σ = 643843200. Its totient is φ = 67525920.

The previous prime is 228158159. The next prime is 228158179. The reversal of 228158172 is 271851822.

228158172 is a `hidden beast` number, since 2 + 2 + 8 + 1 + 581 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (228158179) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10329 + ... + 23727.

Almost surely, 2228158172 is an apocalyptic number.

228158172 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228158172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (321921600).

228158172 is an abundant number, since it is smaller than the sum of its proper divisors (415685028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

228158172 is a wasteful number, since it uses less digits than its factorization.

228158172 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13463 (or 13458 counting only the distinct ones).

The product of its digits is 17920, while the sum is 36.

The square root of 228158172 is about 15104.9055607773. The cubic root of 228158172 is about 611.0527123724.

The spelling of 228158172 in words is "two hundred twenty-eight million, one hundred fifty-eight thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 43 44 66 86 99 129 132 172 198 258 387 396 473 516 774 946 1419 1548 1892 2838 4257 5676 8514 13399 17028 26798 40197 53596 80394 120591 147389 160788 241182 294778 442167 482364 576157 589556 884334 1152314 1326501 1728471 1768668 2304628 2653002 3456942 5185413 5306004 6337727 6913884 10370826 12675454 19013181 20741652 25350908 38026362 57039543 76052724 114079086 228158172